Distance to the moon = 4×[tex] 10^{8}[/tex]m.
1 m = 3.28 ft
Distance to the moon in ft = 4×[tex] 10^{8}[/tex]×3.28 ft
= 13.12 ×[tex] 10^{8}[/tex]ft
1 fathom = 6 ft
Hence, distance to the moon in fathom
= [tex] \frac{13.2}{6}[/tex]×[tex] 10^{8}[/tex]
≈ 2× [tex] 10^{8} [/tex]fathom